1032100202001 has 64 divisors (see below), whose sum is σ = 1551465861120. Its totient is φ = 604950128640.

The previous prime is 1032100201991. The next prime is 1032100202011. The reversal of 1032100202001 is 1002020012301.

1032100202001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1032100201991) and next prime (1032100202011).

It is not a de Polignac number, because 1032100202001 - 2⁵ = 1032100201969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1032100202011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88838145 + ... + 88849761.

It is an arithmetic number, because the mean of its divisors is an integer number (24241654080).

Almost surely, 2^{1032100202001} is an apocalyptic number.

1032100202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1032100202001 is a deficient number, since it is larger than the sum of its proper divisors (519365659119).

1032100202001 is a wasteful number, since it uses less digits than its factorization.

1032100202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12406.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1032100202001 its reverse (1002020012301), we get a palindrome (2034120214302).

The spelling of 1032100202001 in words is "one trillion, thirty-two billion, one hundred million, two hundred two thousand, one".